Let R(ABCDEFG) be a relation and F={A -> C, A-> D, B->F, E->F, F->G} a. Show example of lossless join decomposition of R into three tables R1, R2 and R3 and demonstrate that this decomposition is lossless using chase algorithm b. Find one key for this scheme and prove that it is a key using closure algorithm and definition of a key.

Q: Suppose ρ is the relation defined on P({1, 2, 3}) in which, for A, B ∈ P({1, 2, 3}), AρB means "A…

A: Given: P({1, 2, 3}) A, B ∈ P({1, 2, 3}) AρB means "A and B both have exactly 2 elements."  ρ is…

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Q: Consider the relation R = {A, B, C, D, E, F, G, H, I,J} and the set of functional dependencies F = {…

A: f ={     AB → C,      A → D,      B → F,  F → GH,  D → IJ   } To find the key check the RHS of the…

Q: The recurrence relation is defined as follows: an = 3a,-1 + 2an-2; ao = 2, a1 =1 Find az .

A: In recurrence relation , ideally put value of n which you want to find. A recurrence relation…

Q: Consider the relation R(S, N, R, C, J, H, L) and its set of dependencies F = {S, N -> C ; J, H, C ->…

A: using Armstrong's axioms=> proved in figure figure 1:

Q: Make a hybrid merge-join variant that works in scenarios where neither relation is physically sorted…

A: Introduction: Merge join and hybrid merge join are different. Before utilising merge join, we sorted…

Q: (4) Let T be the partial order relation on P({1,2,...,20}) defined by ATB if and only if |A| < |B|…

A: It is defined as sometimes also called simple, connex, or full orders. A set equipped with a total…

Q: Let R(A,B,C,D,E,F,G) be a relation with the FDs: F= (CDG, DG-C, AD-G, G-A, AB-F). Consider the…

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Q: Problem 3 Consider the relation R = {A, B, C, D, E, F,G, H, I, J} and the set of functional…

A:

Q: Let R(ABCDE)  be a relation and  F={A→B, BC→E, and ED →A}. Decompose R into BCNF using BCNF…

A: Answer:)

Q: SIf a decomposition of a relation R into R¡ and R2 is lossless, then which of the followings are…

A: If a decomposition of a relation “R” into “R1”, and “R2” is lossless then it produces “R” by…

Q: Consider the schema R=ABCDEG and the set of functional dependencies F={BC→AG, BG→CD, C→AE, D→AG} 2a)…

A: To address each part of your question:2a) Determine the keys of the schema:To find the keys of the…

Q: [A, B, C, D, E, F, G, H, I, J, K, L, M, N] B, C} → {D, E} {A, B, C, G} M} → {G, H, I, J} > {K, G}

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Q: Constructing a link such as second course may be done by starting with a number of connections that…

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Q: Decompose R into a set of 3NF relations, that is lossless join and dependency preserving.

A: Here we decompose it in 3nf and check dependency preserving.…

Q: Now start with these functional dependencies: АВ > Е C → D F → GH FG → GH В > FG Find a minimal…

A: A) AB -&gt;E, C-&gt;D, F-&gt;GH, FG-&gt;GH, B-&gt;FG Here in FD FG-&gt;H, we can delete G from RHs…

Q: ind a minimal covering of these functional dependencies. Then use it to synthesize a set of…

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Q: Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G) 5. Find a 3NF…

A: The given Functional depenency are :  F = {BC -&gt; D, B -&gt; E, CE -&gt; D, E -&gt; CA, BF -&gt;…

Q: Let R be a relation on A = (0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

A: Let R be a relation on A = {0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

Q: 5 A 1 R 4 6 B 2 6 8 B 4 9 7 с 5 The full outer join has 3 NULLS. he left outer join has 4 NULLS. S…

A: In this question two tables are given as the R and SIt is asked to perform full outer joinright…

Q: Suppose that R is the following relation on the set A = {1,2,3,4}: R = A × A – {(1, 1), (2, 2), (3,…

A: The Cartesian product is a mathematical operation that takes two sets and creates a new set…

Q: Let T be the partial order relation on P({1,2,...,20}) defined by ATB if and only if |A| <|B| or…

A: I Have answered this question in step 2.

Q: Consider a relation R={A,B,C,D,E,F,G,H,I} with the set of functional dependencies and determine,…

A: Now we must determine the above definition whether for each FD. Each value is super key or not on…

Q: 5. Let R = (A, B, C, D, E) be a relation scheme with the following dependencies- AB → C C → D B→ E…

A: For the given relation R = (A,B,C,D,E) we are gien three dependencies. AB-&gt;C C-&gt;D B-&gt;E   We…

Q: Write the relation matrix for the relation R on the set (a,b.c.d,e.f) which is defined as follows:…

A: Relation Matrix: Any relation can be represent using the matrix representation. The matrix contain…

Q: Consider the following set F of functional dependencies on the relation schema R = (A, B, C, D, E,…

A: a) Candidate Key : Minimal set of attributes used to differentiate every record of the table is…

Q: Given a relation schema R = (A, B, C) and its functional dependencies F = {A →B, B→ C). Suppose R is…

A: Answer is given below-

Q: For each of the following pairs of expressions, give instances of relations thatshow the expressions…

A: Right Outer Join: When two tables are joined using Right Outer Join, all the records from the second…

Q: Suppose a relation schema R = (A, B, C, D) is decomposed into following relations R1(A,B,C) and…

A: A relation schema R is decomposed into R1 and R2

Q: Could you tell a step by step procedure of finding a super key for A relation R(A,B,C,D, E) having…

A: Solution - In the given question, we have to find the super key of the given relation R(A,B,C,D,E).…

Q: Consider the relation R(S, N, R, C, J, H, L) and its set of dependencies. F = {S, N -> C ; J, H, C…

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A: Decomposition of a relation is done when a relation in relational model is not in appropriate normal…

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A: A relation R is reflexive if and only if (a, a) ∈ R , ∀a ∈ A   Here,  A = {a, b, c}   Therefore, (a,…

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A: Solution:   Given, Relational Schema- R{A, B, C, D, E} List of functional Dependencies are- CE…

Q: Consider the relation R = {A, B, C, D, E, F, G, H, I,J} and the set of functional dependencies F = {…

A: